2022 · Paper 1

Complete GATE PI 2022 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 55–57 of 65. Imported answers require review unless explicitly marked reviewed.

Question 55

Open question

PINAT2 marksNeeds review

The worktable of an open loop positioning system is driven by a lead screw with a pitch of 4 mm. The lead screw is connected to the shaft of a stepper motor. A gear of 80 teeth mounted on the stepper motor shaft meshes with a gear of 20 teeth mounted on the lead screw. The step angle of the stepper motor is 9°. The number of pulses required to move the table by 200 mm is____________. [in integer]

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Question 56

Open question

PINAT2 marksNeeds review

The diameter of a cylindrical cavity is measured by using two spherical steel balls of diameters 3 cm and 4 cm. The balls are placed inside the cavity such that the bigger ball is above the smaller one as shown in the figure. If the depth of cavity is 6 cm, then the diameter (in cm) of cavity is____________. [round off to two decimal places]



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Question 57

Open question

PINAT2 marksNeeds review

In a mobile screen manufacturing process on a mass scale basis, 5 samples of size 80 are inspected. Consider a p-chart with ±3σ limits (σ is the standard deviation). The numbers of defective items are given in the table.

Sample No. | Number of defective items 1 | 4 2 | 10 3 | 5 4 | 6 5 | 5

The upper control limit of the defective item (in fraction defective) is____________. [round off to two decimal places]

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